Rookies Jonathan Toews and Adam Burish also scored for Chicago, which won its fourth straight.
Rich Peverley scored for Nasvhille, which lost for the first time in regulation following a 5-0-1 stretch. The loss locked the Predators, who played their final regular-season game, into eighth place and the last playoff spot in the Western Conference.
Nashville will face league-leading Detroit in the opening postseason round. The Predators were 3-3-2 against the Red Wings in regular-season play.
The Blackhawks were eliminated from the playoffs for the ninth time in 10 seasons on Thursday night when Nashville defeated St. Louis.
Chris Mason started in goal for Nashville and allowed three goals on 12 shots. He was replaced midway through the second period by Pekka Rinne, who made eight saves.
Peverly opened the scoring 2:18 in, then the Blackhawks scored three straight goals and held a 3-1 lead after the first period.
Toews tied it at 1 at 4:52, firing in a rebound from the slot for his 24th goal.
Burish made it 2-1 at 7:11 with a short-handed goal that withstood a video review. Burish cut to the net and was knocked down by Nashville defenseman Ville Koistinen. After Burish and Koistinen collided with Mason, the puck slid over the goal line.
Kane scored his 20th of the season at 11:09 on a deflection to make it 3-1.
Notes:@ The Blackhawks' season-high crowd of 21,929 was their 12th sellout of the season. ... Chicago LW Ben Eager missed his 12th game with a shoulder injury. ... Nashville C David Legwand missed his 13th with a bone bruise in his foot. ... Four Nashville regulars were rested as healthy scratches
- D Marek Zidlicky, D Greg de Vries, C Jason Arnott and G Dan Ellis. ... Chicago LW Adam Berti was recalled from Rockford of the AHL on Friday and played in his first NHL game.
